Properties of the Number 68076

Sixty-Eight Thousand Seventy-Six

Basics

Value: 68075 → 68076 → 68077

Parity: even

Prime: No

Previous Prime: 68071

Next Prime: 68087

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 31 × 61

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 31, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000100111101100

Octal: 204754

Duodecimal: 33490

Hexadecimal: 109ec

Square: 4634341776

Square Root: 260.9137788619068

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Truncated square pyramid numbers: a(n) = ∑_{k = n..2·n-1} k². A50410

Number of ways to write n as an ordered sum of 6 prime powers (including 1). A341135

Expansion of e.g.f. 1/(1 - x²/2 * (exp(x) - 1)). A353998

Structured triakis tetrahedral numbers (vertex structure 4). A100175

T(n,k)=Number of nXk 0..4 arrays with no three equal values in a row horizontally or vertically, and new values 0..4 introduced in row major order. A222924

p-INVERT of (1,0,0,1,0,0,1,0,0,...), where p(S) = 1 - S - S³. A292320

a(n) = smallest non-palindromic k such that the base-2 Reverse and Add! trajectory of k is palindrome-free and joins the trajectory of A092210(n). A92212

Number of nX2 0..4 arrays with no three equal values in a row horizontally or vertically, and new values 0..4 introduced in row major order. A222920

Number of nX5 0..4 arrays with no three equal values in a row horizontally or vertically, and new values 0..4 introduced in row major order. A222923

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. 1/(1 - x^k/k! * (exp(x) - 1)). A355666